Units of Carthage

Most basic unit of all. However, it's useful if you want to "transfer population" from one settlement to another (Show me How). Desert peasants are tougher.
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Town Militia

Attack: 3
Defense: 7

Price: 150

Poor morale
Can Sap

The Town Militia is very useful outside of the battlefield, when you need someone to guard a town (leave at least 4 regiments of Town Militia, they'll be okay), or on the battlefield, when you need to distract an enemy group, lure them into a trap or something.
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Iberian Infantry

Attack: 7
Defense: 8

Price: 240

Can sap

Like the Hastati for Carthage and Spain - main infantry of the line for most of the game.
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Libyan Spearmen

Attack: 5
Defense: 16

Price: 400

Bonus vs. cavalry
Can sap

Best used against cavalry, the main fighting should be carried out by the Iberian Infatnry though.
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Poeni Infantry

Attack: 9
Defense: 18

Price: 540

Can form phalanx
Bonus vs. cavalry
Good morale
Good stamina
Can sap

Heavily armoured spearmen, can compose the main line of the army.
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Sacred Band Spearmen

Attack: 12
Defense: 23

Price: 710

Can form phalanx
Bonus vs. cavalry
Good morale
Good stamina
Powerful charge
Can sap

Elite of the Carthaginian forces. Awesome morale. Plus they can fight with swords.
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Spanish Mercenaries

Attack: 7 (Missile 11)
Defense: 12

Price: 710

Javelins thrown before charge
Can sap

Quite good main-line infantry unit, well balanced (based on the Scutarii).
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Round Shield Cavalry

Attack: 7
Defense: 8

Price: 300

Can form wedge

A pair with the Iberian Infantry, something that you will use through the first part of the game.
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Can hide in long grass
Bonus vs. elephants and chariots
Fast moving
Can sap

A bit like the Velites and Peltasts, nothing special, throw sticks, boo.
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Onagers

Attack: 53 (vs. Building 70)
Defense: 10

Price: 720

Area attack
Very long range
Can use flaming missiles
Can't hide
Inaccurate against troops

The last attribute is totally unjust. These machines are priceless whe taking cities because they are able from a safe position to devastate enemy forces which are behind the walls, leading to panic. With luck and skill you can exterminate half the enemy army before going in.
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Heavy Onagers

Attack: 63 (vs. Buildings 110)
Defense: 10

Price: 930

Very long range
Can use flaming missiles
Can't hide
Inaccurate against troops